A 2 kg object is moving with a speed of 3 m/s. What is its total mechanical ener

Practice Questions

Q1
A 2 kg object is moving with a speed of 3 m/s. What is its total mechanical energy?
  1. 9 J
  2. 12 J
  3. 15 J
  4. 18 J

Questions & Step-by-Step Solutions

A 2 kg object is moving with a speed of 3 m/s. What is its total mechanical energy?
  • Step 1: Identify the mass of the object. The mass is 2 kg.
  • Step 2: Identify the speed of the object. The speed is 3 m/s.
  • Step 3: Use the formula for kinetic energy (KE), which is KE = 0.5 * m * v².
  • Step 4: Substitute the values into the formula: KE = 0.5 * 2 kg * (3 m/s)².
  • Step 5: Calculate (3 m/s)², which is 9 m²/s².
  • Step 6: Multiply 0.5 * 2 kg * 9 m²/s² to find KE: 0.5 * 2 * 9 = 9 J.
  • Step 7: Since there is no potential energy mentioned, we assume it is 0 J.
  • Step 8: Add kinetic energy and potential energy to find total mechanical energy: Total mechanical energy = KE + PE = 9 J + 0 J = 9 J.
  • Kinetic Energy – The energy possessed by an object due to its motion, calculated using the formula KE = 0.5mv².
  • Potential Energy – The energy stored in an object due to its position or configuration, which is not considered in this question since the height is not provided.
  • Total Mechanical Energy – The sum of kinetic and potential energy in a system, which in this case is solely kinetic energy since potential energy is not given.
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